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1005150317 is a prime number
BaseRepresentation
bin111011111010010…
…110000001101101
32121001100221000112
4323322112001231
54024304302232
6243423505405
733623431253
oct7372260155
92531327015
101005150317
11476421346
12240758265
13130321502
14976cc5d3
155d39c4b2
hex3be9606d

1005150317 has 2 divisors, whose sum is σ = 1005150318. Its totient is φ = 1005150316.

The previous prime is 1005150299. The next prime is 1005150343. The reversal of 1005150317 is 7130515001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 796029796 + 209120521 = 28214^2 + 14461^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005150317 - 212 = 1005146221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005150292 and 1005150301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005170317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502575158 + 502575159.

It is an arithmetic number, because the mean of its divisors is an integer number (502575159).

Almost surely, 21005150317 is an apocalyptic number.

It is an amenable number.

1005150317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005150317 is an equidigital number, since it uses as much as digits as its factorization.

1005150317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525, while the sum is 23.

The square root of 1005150317 is about 31704.1056804951. The cubic root of 1005150317 is about 1001.7138334303.

Adding to 1005150317 its reverse (7130515001), we get a palindrome (8135665318).

The spelling of 1005150317 in words is "one billion, five million, one hundred fifty thousand, three hundred seventeen".